Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain

Alexander Pushnitski; Grigori Rozenblum

arxiv: 0707.4297 · v1 · submitted 2007-07-29 · 🧮 math.SP · math-ph· math.MP

Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain

Alexander Pushnitski , Grigori Rozenblum This is my paper

classification 🧮 math.SP math-phmath.MP

keywords clusterscompactdomaineigenvaluesexteriorlandauoperatoraccumulation

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We consider the Schrodinger operator with a constant magnetic field in the exterior of a compact domain on the plane. The spectrum of this operator consists of clusters of eigenvalues around the Landau levels. We discuss the rate of accumulation of eigenvalues in a fixed cluster.

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Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain

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